APPLICATION OF THE GROUP ALGEBRA OF THE PROBLEM OF THE TAIL σ-ALGEBRA OF A RANDOM WALK ON A GROUP AND THE PROBLEM OF ERGODICITY OF A SKEW-PRODUCT ACTION

1988 ◽  
Vol 31 (1) ◽  
pp. 209-222
Author(s):  
R S Ismagilov
Keyword(s):  
Random Walk ◽  
Group Algebra ◽  
Skew Product ◽  
Product Action

scholarly journals Mixing properties of induced random transformations

1997 ◽  
Vol 17 (4) ◽  
pp. 839-847 ◽  
Author(s):  
HANS-OTTO GEORGII
Keyword(s):  
Random Walk ◽  
Abelian Group ◽  
Probability Space ◽  
Return Time ◽  
Skew Product ◽  
Mixing Properties ◽  
Countable Abelian Group ◽  
Measure Preserving Transformations

Let $S(N)$ be a random walk on a countable abelian group $G$ which acts on a probability space $E$ by measure-preserving transformations $(T_v)_{v\in G}$. For any $\Lambda \subset E$ we consider the random return time $\tau$ at which $T_{S(\tau)}\in\Lambda$. We show that the corresponding induced skew product transformation is K-mixing whenever a natural subgroup of $G$ acts ergodically on $E$.

Skew product action

2006 ◽  
pp. 205-211
Author(s):  
Hyun Jung Kim
Keyword(s):  
Skew Product ◽  
Product Action

Connection of a group algebra with the tail ?-algebra of a random walk on a group

1985 ◽  
Vol 19 (1) ◽  
pp. 63-64 ◽  
Author(s):  
R. S. Ismagilov
Keyword(s):  
Random Walk ◽  
Group Algebra

scholarly journals Homomorphisms of ergodic group actions and conjugacy of skew product actions

1996 ◽  
Vol 19 (4) ◽  
pp. 781-788
Author(s):  
Edgar N. Reyes
Keyword(s):  
Compact Group ◽  
Group Actions ◽  
Locally Compact Group ◽  
Skew Product ◽  
Locally Compact ◽  
Product Action

LetGbe a locally compact group acting ergodically onX. We discuss relationships between homomorphisms on the measured groupoidX×G, conjugacy of skew product extensions, and similarity of measured groupoids. To do this, we describe the structure of homomorphisms onX×Gwhose restriction to an extension given by a skew product action is the trivial homomorphism.

Elements of the Random Walk

2004 ◽  
Author(s):  
Joseph Rudnick ◽  
George Gaspari
Keyword(s):  
Random Walk

Modeling Random Walk Processes in Human Concept Learning

2006 ◽  
Author(s):  
Richard M. Young
Keyword(s):  
Random Walk ◽  
Concept Learning

CUBIC [001] TWIST CSL GRAIN BOUNDARIES STUDY BY MEANS OF RANDOM WALK

1990 ◽  
Vol 51 (C1) ◽  
pp. C1-67-C1-69
Author(s):  
P. ARGYRAKIS ◽  
E. G. DONI ◽  
TH. SARIKOUDIS ◽  
A. HAIRIE ◽  
G. L. BLERIS
Keyword(s):  
Random Walk ◽  
Grain Boundaries

Random walk to graphene

2011 ◽  
Vol 181 (12) ◽  
pp. 1284 ◽  
Author(s):  
Andrei K. Geim
Keyword(s):  
Random Walk

Testing for Random Walk and Structural Breaks in Hedge Funds Returns

CFA Digest ◽  
2006 ◽  
Vol 36 (4) ◽  
pp. 9-10
Author(s):  
Charles F. Peake
Keyword(s):  
Random Walk ◽  
Hedge Funds ◽  
Structural Breaks ◽  
Hedge Funds Returns
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